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We introduce the notion of a task-oriented maximally entangled state (TMES). This notion depends on the tasks for which a quantum state is used as the resource. This concept may be more fruitful than that of a general maximally entangled…

Quantum Physics · Physics 2007-08-16 Pankaj Agrawal , B. Pradhan

An exactly solvable strongly correlated electron model with two independent parameters is constructed in the frame of the quantum inverse scattering method, which can be seen as a generalization of the Bariev model. Through the Bethe ansatz…

Strongly Correlated Electrons · Physics 2024-11-14 Mingchen Zheng , Xin Zhang , Junpeng Cao , Wen-li Yang , Yupeng Wang

We propose an extension of Wenzel-Kramers-Brillouin (WKB) approximation for solving the Schr\"odinger equation. A set of coupled differential equations is obtained by considering an ansatz of the wave function with an auxiliary condition on…

Quantum Physics · Physics 2025-04-01 Yu-An Tsai , Sheng D. Chao

We review recent theoretical work on two closely related issues: excitation of an isolated quantum condensed matter system driven adiabatically across a continuous quantum phase transition or a gapless phase, and apparent relaxation of an…

Quantum Gases · Physics 2015-05-14 Jacek Dziarmaga

Preparation of quantum thermal states of many-body systems is a key computational challenge for quantum processors, with applications in physics, chemistry, and classical optimization. We provide a simple and efficient algorithm for thermal…

Quantum Physics · Physics 2026-03-18 Jerome Lloyd , Dmitry A. Abanin

The reduced-density-matrix method is an promising candidate for the next generation electronic structure calculation method; it is equivalent to solve the Schr\"odinger equation for the ground state. The number of variables is the same as a…

Strongly Correlated Electrons · Physics 2011-06-27 Maho Nakata , Mituhiro Fukuda , Katsuki Fujisawa

A novel linear-algebraic algorithm, multiple Arnoldi method, was developed in an interdisciplinary study between physics and applied mathematics and realized one-hundred-million-atom (100-nm-scale) electronic state calculations on the K…

Materials Science · Physics 2013-07-12 Takeo Hoshi , Keita Yamazaki , Yohei Akiyama

Understanding system-bath correlations in open quantum systems is essential for various quantum information and technology applications. Derivations of most master equations (MEs) for the dynamics of open systems require approximations that…

Quantum Physics · Physics 2024-03-25 A. P. Babu , S. Alipour , A. T. Rezakhani , T. Ala-Nissila

We discuss a laser-trapped cold-atom superfluid qubit system. Each qubit is proposed as a macroscopic two-state system based on a set of Bose-Einstein condensate (BEC) currents circulating in a ring, cut with a Josephson barrier. We review…

Quantum Gases · Physics 2012-03-20 Dmitry Solenov , Dmitry Mozyrsky

A generalization of the stochastic wave function method is presented which allows the unravelling of arbitrary linear quantum master equations which are not necessarily in Lindblad form and, moreover, the explicit treatment of memory…

Quantum Physics · Physics 2007-05-23 H. P. Breuer , B. Kappler , F. Petruccione

Entangled states are a crucial resource for quantum-based technologies such as quantum computers and quantum communication systems (1,2). Exploring new methods for entanglement generation is important for diversifying and eventually…

The infinite projected entangled pair states (iPEPS) technique [J. Jordan {\it et al.}, Phys. Rev. Lett. {\bf 101}, 250602 (2008)] has been widely used in the recent years to assess the properties of two-dimensional quantum systems, working…

Strongly Correlated Electrons · Physics 2019-08-23 Juraj Hasik , Federico Becca

By using the effective Hamiltonian approach, we present a self-consistent framework for the analysis of geometric phases and dynamically stable decoherence-free subspaces in open systems. Comparisons to the earlier works are made. This…

Quantum Physics · Physics 2009-11-13 X. L. Huang , X. X. Yi , Chunfeng Wu , X. L. Feng , S. X. Yu , C. H. OH

An extension to computational mechanics complexity measure is proposed in order to tackle quantum states complexity quantification. The method is applicable to any $n-$partite state of qudits through some simple modifications. A Werner…

Computational Physics · Physics 2011-10-28 Yuri Campbell , José Roberto Castilho Piqueira

The simulation of strongly correlated many-electron systems is one of the most promising applications for near-term quantum devices. Here we use a class of eigenvalue solvers (presented in Phys. Rev. Lett. 126, 070504 (2021)) in which a…

Quantum Physics · Physics 2022-04-18 Scott E. Smart , Jan-Niklas Boyn , David A. Mazziotti

We study the open system dynamics of a heavy quark in the quark-gluon plasma using a Lindblad master equation. Applying the quantum state diffusion approach by Gisin and Percival, we derive and numerically solve a nonlinear stochastic…

Nuclear Theory · Physics 2018-08-01 Yukinao Akamatsu , Masayuki Asakawa , Shiori Kajimoto , Alexander Rothkopf

The phenomenon of quantum many-body scars (QMBS) has been studied both theoretically and experimentally, due to its unusual violation of the eigenstate thermalization hypothesis (ETH). In this paper, we extend the ETH to a new description…

Quantum Physics · Physics 2026-03-09 Jia-wei Wang , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

A general computational scheme for the (non-relativistic) Bethe logarithm is developed opening the route to `routine' evaluation of the leading-order quantum electrodynamics correction (QED) relevant for spectroscopic applications for small…

Chemical Physics · Physics 2023-01-10 Dávid Ferenc , Edit Mátyus

We study the non-linear quantum master equation describing a laser under the mean field approximation. The quantum system is formed by a single mode optical cavity and two level atoms, which interact with reservoirs. Namely, we establish…

Mathematical Physics · Physics 2020-06-24 Franco Fagnola , Carlos M. Mora

We discuss a model of a closed quantum evolution of two-qubits where the joint Hamiltonian is so chosen that one of the qubits acts as a bath and thermalize the other qubit which is acting as the system. The corresponding exact master…

Quantum Physics · Physics 2023-01-04 Sagnik Chakraborty , Arpan Das , Dariusz Chruściński